What is common between the three sequences mentioned below 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 -35, -30, -25, -20, -15, -10, -5 All of the above-mentioned sequences are Arithmetic progressions abbreviated as AP. And what do we mean by …
How do you think an architecture calculates the amount of time-period required for completion of a project? Or how does one know much material will be required for the construction of any structure? Well, this is done using an interesting concept known as ‘Binomial theorem’. And what do we mean by this? A polynomial consisting …
Sometimes to deal with a problem we need to optimize certain resources. These resources could be either time, money, or anything else. These resources are also called ‘constraints’. One of the best examples of this is our diet. We need more protein for building muscles, but we also need carbohydrates for energy. So we need …
Word problems always make you sweat in stress. One reason for this is because of the confusing questions asked. For instance – try finding an answer to this question – Bob and Martha have 45 chocolates. They gave 15 chocolates to Cathy. How many chocolates does Bob have? All that we know is – Bob …
When you throw a ball in the air it covers a path that can be modeled by a parabola. For any given height there will be two positions of the ball. A simple parabola equation is y = x2. Here we can see that ‘y’ can be either ‘+x’ or ‘-x’. So quadratic equation is …
Can you recall any number that has a negative value for its square? You might have multiplied several numbers, but none of those would have given you a negative square. There arises the complexity. There are negative squares – which are identified as ‘complex numbers’. For instance: -1i is a complex number. Here ‘i’ refers …
Analyzing a data set that has a very large value like 45782945764 or a very small value like 0.0024854693 is too difficult. To plot such data on a linear scale often doesn’t make much sense. So what can be done about this? This is where logarithm comes into the picture. Plotting such data on a …
How do you encrypt confidential data? Encryption in technology is done with the help of codes. These codes perform the function like a key to the lock. Without proper codes, one cannot decrypt the data. The concept of matrices come into the picture while designing the code. But what is a matrix? It is defined …
In our previous grades, we have studied the methods to solve a linear equation. In this chapter, we further advance our knowledge by solving complex word problems in simpler ways. The chapter deals with finding the solution for a problem, by graphical representations as well as expressing it algebraically. Linear equations in two variables consideres …
Have you ever come across a mathematical problem which has two solutions? Woah! You must be thinking, if getting one answer was not enough, now you have to find two answers! But that’s nothing to worry, you will have so much fun learning quadratic equation. It is present in physics, for calculating the path of …
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